PYQ Vault

Day 8: CDS Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Mensuration 3D. This type asked 5 times: CDS 1 2019, CDS 1 2021, CDS 2 2023, CDS 1 2024, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    56
    A well is dug with a diameter of 3.5 m and 16 m depth. The earth soil so excavated is spread in the form of a right circular cone of radius 7 m. What is the height of the cone ?

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  2. Question 2

    Quadratic Equations. This type asked 5 times: CDS 2 2017, CDS 1 2021, CDS 1 2023, CDS 2 2024, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    13
    If 5 is a root of the equation x2+px−55=0x^2 + px - 55 = 0 and the quadratic equation x2+px+k=0x^2 + px + k = 0 has equal roots, then what is the value of k ?

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  3. Question 3

    Quadrilaterals. This type asked 5 times: CDS 2 2017, CDS 1 2019, CDS 2 2022, CDS 2 2025, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    61
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABCD is a rhombus of side 10 cm. What is the sum of the squares of the diagonals of the rhombus ? Statement I : AC : BD = 3 : 4. Statement II : AC = 6 cm. Which one of the following is correct in respect of the above Question and Statements ?

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  4. Question 4

    Statistics. This type asked 5 times: CDS 1 2017, CDS 2 2019, CDS 2 2022, CDS 2 2023, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    99
    Consider the following incomplete frequency distribution with a total frequency of 100 :
    ClassFrequency
    0 - 1010
    10 - 20x
    20 - 3020
    30 - 40y
    If the mean of the frequency distribution is 25, then what are the missing frequencies ?

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  5. Question 5

    Time, Speed and Distance. This type asked 5 times: CDS 2 2016, CDS 2 2017, CDS 1 2018, CDS 1 2022, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    94
    A cyclist pedals from her house to her office at a speed of 3 kmph and back from the office to her house at 6 kmph. What is the average speed ?

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